计算Reissner理论各向异性板应力强度因子的半权函数法  

SEMI-WEIGHT FUNCTION METHOD FOR CALCULATING STRESS INTENSITY FACTORS OF REISSNER THORY ANISOTROPIC CRACKED PLATE

作　　者：杨丽敏[1] 柳春图[1] 曾晓辉[1] 

机构地区：[1]中国科学院力学研究所工程科学部,北京100080

出　　处：《机械强度》2006年第1期113-117,共5页Journal of Mechanical Strength

摘　　要：由功能互等定理导出用半权函数表示的各向异性板应力强度因子的解析表达式,并给出基于Reissner板理论含裂纹的各向异性板受弯曲、扭转和剪切作用的半权函数。计算含中心裂纹四边自由受纯弯曲作用板的应力强度因子,并与有关的结果进行比较,表明此方法简便、可靠。A simple and accurate method-semi-weight function method to determine stress intensity factors in anisotropic cracked plates based on Reissner plate theory is proposed. The semi-weight function, including the effect of transverse shear deformation, in an anisotropic plate under bending, twisting moments, and transverse shear loads is presented with Stroh formalism. The stress intensity factors defined in terms of the integral are derived from the Betti＇ s reciprocal work theorem and expressed in terms of plate resultant quantities on a path and semi-weight function. The method is easily appended to Ansys finite element computer codes. Numerical results of a center-cracked plate under pure bending moment with four lateral boundaries free are given and demonstrate the accuracy and practicality of the method. Accurate computations can be achieved with coarse grids and there is no need for high resolution near the crack tip. The contour of integration can be taken well removed from the singularity thereby using data from regions in which the numerical results are generally smooth. The calculations are not sensitive to the choice of contour.

关 键 词：各向异性 板半权函 数应力强度因子 Reissner理论 

分 类 号：O346.1[理学—固体力学]